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Finding the Fourth Proportional to 339,648, 509,549.76 and 118,032

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Solution

The fourth proportional to 339,648, 509,549.76 and 118,032 is: 177,075.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,648 : 509,549.76 = 118,032 : x
  2. Step 2: Convert to fraction form
    339,648/509,549.76 = 118,032/x
  3. Step 3: Cross multiply
    339,648x = 509,549.76 × 118,032
  4. Step 4: Simplify right side
    339,648x = 60,143,177,272.32
  5. Step 5: Solve for x
    x = 60,143,177,272.32/339,648
  6. Step 6: Final answer
    x = 177,075.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.